Introduction In this project for math we learned about Quadratics . As you may know there is 3 different types which are Vertex form, Factors from, and standard from. We learned how we convert between them. We also used quadratic to solve lots of the problems. Most of the problems dealt with projectile where it was going to land, and how high it would go and how long would it be in the air.
the Vertex Form of the Quadratic Equation
So A makes it wider or smaller. It also can make it concave down. H makes it go right on the cornet plan when it is negative it goes to the left on the cornet plane. K makes go up on the cornet plane when it is positive. If it is negative it goes under the x axis.
Vertex y=a(x-h)^2+k This are all quadratic equations form a parabola. A is the up or down direction of the parabola depending if it's positive or negative. If its value is positive the parabola will open upwards, and if the value is a negative it will open downwards. Also decides how wide or narrow a parabola will be. If its number is larger, number being whole numbers makes the parabola smaller and vice versa. h is where on the x coordinate the vertex, or bottom/top of the parabola, will fall and k decides where the y axis will be
Standard y=ax^2+bx+c Standard form is helpful because it gives you the freedom to utilize any of the equations by making a platform. Standard form gives us c also known as the y intercept, or where the parabola crosses the y-axis.
Factored y=(a-r) (x-h) Factor form is a very crucial piece in the puzzle because it gives us the x-intercepts, or where the parabola passes through the x-axis.
Reflection In this project I noticed that the problems just kept getting harder and harder. I felt like I was falling behind. The concepts were really hard to understand and even to this day I don't completely understand them. I felt like I was putting in a lot of effort but I just didn't get the content, i would ask my classmates and teacher to help but still was confused.I completed the worksheets, but i was still listed in what to do. I need to get a better understanding of it i don't just want to complete it and be done i wanted to understand so that i can move on. Habits of a mathematician that i used was Look for patterns, i was looking for a patterns like a clue anything that would help me get a better understanding of it. Also use Start small we started small and began to move forward. We began to get an small understanding of the project and slowly worked our way to the more difficult problems.